Joint distribution of Busemann functions for the corner growth model

Series: 
Stochastics Seminar
Thursday, February 28, 2019 - 3:05pm
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
Indiana University, Bloomington
,  
Organizer: 

We present the joint distribution of the Busemann functions, in all directions of growth, of the exactly solvable corner growth model (CGM). This gives a natural coupling of all stationary CGMs and leads to new results about geodesics. Properties of this joint distribution are accessed by identifying it as the unique invariant distribution of a multiclass last passage percolation model. This is joint work with Timo Seppäläinen.